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Finding the Third Proportional to 5,871.02 and 10,347.27

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Solution

The third proportional to 5,871.02 and 10,347.27 is: 18,236.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,871.02 : 10,347.27 = 10,347.27 : x
  2. Step 2: Convert to fraction form
    5,871.02/10,347.27 = 10,347.27/x
  3. Step 3: Cross multiply
    5,871.02x = 10,347.27 × 10,347.27
  4. Step 4: Simplify right side
    5,871.02x = 107,066,005.70
  5. Step 5: Solve for x
    x = 107,066,005.70/5,871.02
  6. Step 6: Final answer
    x = 18,236.35

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.